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Related Concept Videos

Types of Selection01:46

Types of Selection

Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
Frequency-dependent Selection01:21

Frequency-dependent Selection

When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.Positive Frequency-Dependent SelectionIn positive...
Competition02:34

Competition

When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.Intraspecific competition, which occurs between individuals of the same species, serves as a natural mechanism for regulating population size. Too much...
Limits to Natural Selection01:38

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.For one, natural selection can only act upon existing genetic variation. Hypothetically, redtusks may enhance elephant survival by deterring ivory-seeking poachers. However, if there are no gene variants—or alleles—for redtusks, natural selection cannot increase the prevalence of...
What is Natural Selection?01:32

What is Natural Selection?

Natural selection is an evolutionary process in which individuals with survival-promoting traits reproduce at higher rates. These favorable traits become more common within a population or species. Naturally selected traits initially arise via random genetic mutations. In order for selection to occur, there must be variation within a population, the trait controlling the variation must be heritable, and there must be an evolutionary advantage for variation in the trait.The Theory of Natural...
Inclusive Fitness00:57

Inclusive Fitness

Most altruistic behavior—in which one animal helps another at a cost to themselves—occurs between relatives. Scientists think these altruistic behaviors evolved because they increase the inclusive fitness of the animal providing help.

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Related Experiment Video

Updated: Jun 6, 2026

Assessing Differences in Sperm Competitive Ability in Drosophila
09:34

Assessing Differences in Sperm Competitive Ability in Drosophila

Published on: August 22, 2013

On selection dynamics for competitive interactions.

Pierre-Emmanuel Jabin1, Gaël Raoul

  • 1TOSCA project-team, INRIA Sophia Antipolis-Méditerranée, 2004 rte des Lucioles, BP. 93, 06902 Sophia Antipolis Cedex, France. jabin@unice.fr

Journal of Mathematical Biology
|November 16, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces an integro-differential model for population evolution based on a continuous trait. It demonstrates that specific steady solutions are globally stable, aligning with Adaptive Dynamics principles.

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Assessing Differences in Sperm Competitive Ability in Drosophila
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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
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Area of Science:

  • Mathematical Biology
  • Population Dynamics
  • Evolutionary Theory

Background:

  • Population models are crucial for understanding evolutionary processes.
  • Integro-differential equations offer a framework for trait-structured populations.
  • Adaptive Dynamics provides insights into evolutionary stability.

Purpose of the Study:

  • To analyze an integro-differential model for trait-structured populations.
  • To identify and validate conditions for global stability of steady states.
  • To connect model stability with Adaptive Dynamics concepts.

Main Methods:

  • Derivation of an entropy for the integro-differential system.
  • Mathematical analysis of steady-state solutions.
  • Comparison of derived stability conditions with established Adaptive Dynamics criteria.

Main Results:

  • An entropy function was successfully identified for the population model.
  • Global stability was proven for certain steady-state solutions.
  • The derived stability conditions are consistent with Adaptive Dynamics.

Conclusions:

  • The integro-differential model provides a robust framework for studying trait evolution.
  • The identified stability conditions enhance understanding of evolutionary persistence.
  • The findings bridge mathematical modeling with evolutionary theory.